robert7248
robert7248 robert7248
  • 01-04-2019
  • Mathematics
contestada

Solve the linear equation

[tex]4^{x+7} = 8^{2x-3}[/tex]

Respuesta :

jamuuj jamuuj
  • 01-04-2019

Answer:

x = 5.75

Step-by-step explanation:

4^(x+7) = 8^(2x-3)

But; 4^(x+7) = 2^2(x+7)

8^(2x-3) = 2^3(2x-3)

2^2(x+7) = 2^3(2x-3)

Since the bases are the same;

2(x+7) = 3(2x-3)

2x + 14 = 6x -9

14 + 9 = 6x - 2x

23 = 4x

x = 23/4

x = 5.75

Answer Link

Otras preguntas

Let f(x)=√9x and g(x) = x + 7. What’s the smallest number that is in the domain of fog
The provisions of the Platt Amendment most clearly support which of the following American political goals? A. Domination of international trade with developing
What is the slope of the line that is parallel to the line whose equation is 4x + y2 = 0?
Please help! 20 points if u answer
suppose 2/5 of the marbles in a bag are red. how many marbles would you expect to pick before picking 10 reds
If ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs? 10 ft 14 ft 20 ft 24 ft
Please select the word from the list that best fits the definition a way of teaching still used today
Refer to the background information provided about the author in the Student Intro. How does the author's cultural and personal background influence the speaker
About how long does it take for an egg to move down from the oviduct to the cloaca/vent?
You have two sticks. each stick has one blue side and one pink side. you throw the sticks 10 times and record the results. use the table to find the experimenta